User:Eufalesio/Harmonic Segments Along Fifths: Difference between revisions
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HSAF 1 is a stickler Tags: Visual edit Mobile edit Mobile web edit Advanced mobile edit |
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* Its prime mode always contains 4/3 and 3/2. | * Its prime mode always contains 4/3 and 3/2. | ||
* Its prime mode is built like a harmonic series segment up to 4/3, and that same harmonic segment is repeated transposed by 3/2 until it reaches the octave. | * Its prime mode is built like a harmonic series segment up to 4/3, and that same harmonic segment is repeated transposed by 3/2 until it reaches the octave. | ||
* | * HSAF 1 is 6:8:9:12 with [[delta signature]] +2,+1,+2. Except for HSAF 1, its delta signature is +2,+2,+2,+2,[…],+3,+3,+3,[…]. If the HSAF is even-indexed, the +3's start right at 3/2. If the HSAF is odd-indexed, at the step right before 3/2. | ||
These scales require the harmonic segment to start with a threeven number and end with that number times 4/3, so | These scales require the harmonic segment to start with a threeven number and end with that number times 4/3, so HSAFs are a countable set of scales, and thus can be indexed. | ||
== Properties == | == Properties == | ||